Asymptotic behavior of a Leray solution around a rotating obstacle

Giovanni P. Galdi, Mads Kyed

研究成果: Chapter

9 被引用数 (Scopus)

抄録

We consider a body, B, that rotates, without translating, in a Navier-Stokes liquid that fills the whole space exterior to B. We analyze asymptotic properties of steady-state motions, that is, time-independent solutions to the equation of motion written in a frame attached to the body. We prove that “weak” steady-state solutions in the sense of J. Leray that satisfy the energy inequality are Physically Reasonable in the sense of R. Finn, provided the “size” of the data is suitably restricted.

本文言語English
ホスト出版物のタイトルProgress in Nonlinear Differential Equations and Their Application
出版社Springer US
ページ251-266
ページ数16
DOI
出版ステータスPublished - 2011
外部発表はい

出版物シリーズ

名前Progress in Nonlinear Differential Equations and Their Application
80
ISSN(印刷版)1421-1750
ISSN(電子版)2374-0280

ASJC Scopus subject areas

  • Analysis
  • Computational Mechanics
  • Mathematical Physics
  • Control and Optimization
  • Applied Mathematics

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